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Estimation, rounding and accuracy

Limits of accuracy and bounds

45 self-marking GCSE and IGCSE practice questions on Limits of accuracy and bounds, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Extended tier. Instant marking with full worked solutions on every question.

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Sample Limits of accuracy and bounds questions

A few of the 45 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 11 markGrade 3-4
A plank of wood is $350$ cm long, correct to the nearest $10$ cm. Write down the minimum possible length of the plank.
Show the worked solution
Rounded to the nearest 10, the true length could be up to 5 cm less than 350.
Minimum possible length $= 350 - 5 = 345$

What are the common mistakes in Limits of accuracy and bounds?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Uses the rounded value directly instead of the error interval when bounding a calculation
Added the rounded values 20 and 10 directly instead of finding the actual upper/lower bounds of the sum
Uses the full rounding unit instead of half of it when finding the bounds of a rounded value
Uses ±0.1 (the full rounding unit) instead of ±0.05 when finding the bounds of a=2.4 and b=1.7, giving upper bound 2.5+1.8=4.3 and lower bound 2.3+1.6=3.9 instead of the correct 4.2 and 4.
Gives the rounded value itself instead of the actual minimum or maximum possible value
Added a whole 10 instead of half of it (5 cm) to find the maximum

Quick answers about Limits of accuracy and bounds

How many Limits of accuracy and bounds practice questions are there?: There are 45 self-marking GCSE and IGCSE Maths questions on Limits of accuracy and bounds, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Extended tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Limits of accuracy and bounds?: No. You can start practising Limits of accuracy and bounds straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.